Involve: A Journal of Mathematics
- Volume 2, Number 2 (2009), 225-236.
Congruences for Han's generating function
For an integer and a partition , we let be the multiset of hook lengths of which are divisible by . Then, define and to be the number of partitions of such that is even or odd, respectively. In a recent paper, Han generalized the Nekrasov–Okounkov formula to obtain a generating function for . We use this generating function to prove congruences for the coefficients .
Involve, Volume 2, Number 2 (2009), 225-236.
Received: 29 September 2008
Accepted: 17 January 2009
First available in Project Euclid: 20 December 2017
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Collins, Dan; Wolfe, Sally. Congruences for Han's generating function. Involve 2 (2009), no. 2, 225--236. doi:10.2140/involve.2009.2.225. https://projecteuclid.org/euclid.involve/1513799142